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Equilibrium and stability of tokamaks
Author(s) -
Kerner Wolfgang
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650110606
Subject(s) - mathematics , lanczos resampling , magnetohydrodynamics , tokamak , eigenvalues and eigenvectors , finite element method , discontinuous galerkin method , stability (learning theory) , dissipation , mathematical analysis , steady state (chemistry) , flow (mathematics) , rotational symmetry , galerkin method , inverse , physics , geometry , plasma , computer science , thermodynamics , chemistry , quantum mechanics , machine learning
Axisymmetric, ideal MHD configurations with steady flow are computed by the finite‐element method. Rectangular elements with four to nine nodes are used. The equilibria are obtained in flux co‐ordinates by mesh rearrangement. The properties of the linearized motions around an equilibrium state are studied by a normal‐mode analysis. Dissipation is taken into account. Applying the Galerkin method leads to a large‐scale complex eigenvalue problem x = λ ℬx, which is solved by inverse iteration and by the Lanczos algorithm.